What is the answer to |3x-4|=x+5 ?

The answer to |3x-4|=x+5 is x=-1/4 \lor x= 9/2

Solve for x: |3x-4|=x+5

The solution is x=-1/4 \lor x= 9/2

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∣ 3 x - 4 ∣ = x + 5

x = - \frac{1}{4} or x = \frac{9}{2}

Solution steps

∣ 3 x - 4 ∣ = x + 5

Find positive and negative intervals

x < \frac{4}{3}, x \geq \frac{4}{3}

Solve the inequality for each interval

x = - \frac{1}{4} or x = \frac{9}{2}

2 ∣ x - 7 ∣ = x - 8

∣ w + 1 ∣ = 5

∣ 7 x - 4 ∣ + 2 = 0

m = - 3 - 4 ∣ 5 + m ∣

17 = ∣ 11 - 2 x ∣

What is the answer to |3x-4|=x+5 ?
The answer to |3x-4|=x+5 is x=-1/4 \lor x= 9/2
Solve for x: |3x-4|=x+5
The solution is x=-1/4 \lor x= 9/2